Constructions of Commutative Automorphic Loops
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60460709%3A41310%2F10%3A46136" target="_blank" >RIV/60460709:41310/10:46136 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Constructions of Commutative Automorphic Loops
Original language description
A loop whose inner mappings are automorphisms is an automorphic loop (or A-loop). We characterize commutative A-lopps with middle nucleus of index 2 and solve the isomorphism problem. Using this characterization and certain central extensions based on trilinear forms, we construct several classes of commutative A-loops of order a power of 2. We initiate the classification of commutative A-loops of small orders and also of order p3, where p is a prime.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2010
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Communications in Algebra
ISSN
0092-7872
e-ISSN
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Volume of the periodical
38
Issue of the periodical within the volume
9
Country of publishing house
US - UNITED STATES
Number of pages
25
Pages from-to
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UT code for WoS article
000282575300009
EID of the result in the Scopus database
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